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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2013 Volume 2, Issue 2, Pages 18–32 (Mi vyurv79)

Computational Mathematics

Parallel application package Helmholtz3D

D. S. Butyuginab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS (Novosibirsk, Russian Federation)
b Novosibirsk State University

Abstract: The paper present parallel application package Helmholtz3D, which allows to compute three-dimensional time-harmonic electromangetic fields propagating in domains with complicated geometry. In order to solve systems of linear algebraic equations (SLAEs) with complex illconditioned non-hermitian matrices arising in the finite element discretizations, the package uses state-of-the-art iterative methods in Krylov subspace combined with original parallel preconditioners. Package approbation was performed on the series of model and real-life problems of electromangetic field computation in the microwave devices and well logging problems.

Keywords: Maxwell’s equations, finite element method, iterative algorithms, parallel algorithms.

UDC: 519.63

Received: 15.02.2013

DOI: 10.14529/cmse130202



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